1. Copyright Yu Chi Ho Demonstration of Queuing Network Software in the analysis of the performance of Manufacturing Systems Commercial package MPX ® Resources: machines, labor, time ; Jobs: parts and production plans; Performances: delay, WIP (inventory), utilization. Interaction of these three factors captured by Q-Network theory (multi-class open Q- network of G/G/m queues)

2. Copyright Yu Chi Ho Part Assembly of HUB HUB Side viewTop view Sleeve Mount 2 pieces Bracket 4 pieces Bolt HUBMount Sleeve Bracket Bolt

3. Copyright Yu Chi Ho Manufacturing Cell Dock Stock Scrap Mill Drill Rework Inspect Deburr Vt. LatheVt Lathe Vt. Lathe Bench I RRRRRR MMMMM P P P

4. Copyright Yu Chi Ho Explanation “P” are parts preparer. They work on “benches” to prepare parts for later machining; “M” are machine operators, and “R” the repairman. Labor (P,M, or R) AND machine must be simultaneously present to perform an operation (simultaneous resource possession in Q-theory terminology)

5. Copyright Yu Chi Ho Operational Routing for HUB ScrapRework Stock SlotInspectFN. Turn Deburr RF. Turn Bench Dock 80% 10% 5%b 20%b 85%b